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# Pre-Algebra

## Start your algebra journey here with an introduction to variables and equations.

Use diagrams and words to explore the very start of algebra, with puzzles and intuition guiding the way.

By the end of the course, you'll be able to simplify expressions and solve equations using methods that impart deep understanding rather than just procedures. You'll sharpen your problem solving strategies and explore what's really useful about algebra in the first place.

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1. 1

### Introduction

Meet the visuals and concepts that will guide us through arithmetic to algebra.

1. #### Number Relationships

Start the road to algebra and solving equations by visualizing the relationships between numbers.

2. #### Bar Models

Use geometric figures to think strategically about arithmetic.

3. #### Variables

Why use letters in the place of numbers?

2. 2

### Variables and Notation

Master the art of math with letters.

1. Included with

#### Order of Operations

What order do calculations happen — and does it matter?

2. Included with

#### Expressions

Work out the value and meaning of expressions when letters take the place of numbers.

3. Included with

#### Creating Equations

Before we can solve equations, we have to learn how to make them.

4. Included with

#### Finding Unknowns

Turn unknown values into known values with style.

3. 3

### Factoring

Take numbers apart and put them back together.

1. Included with

#### Primes

Use prime numbers to see how numbers are formed.

2. Included with

#### Factorization

Split numbers into their component parts by factoring.

3. Included with

#### The Distributive Property

Work with expressions that use both multiplication and addition.

4. Included with

#### Common Factors

Extract factors to turn sums into products.

4. 4

### Simplification

Force the symbols to reveal their hidden meanings.

1. Included with

#### Evaluating Expressions

Reduce tedious calculation by rewriting expressions.

2. Included with

#### Like Terms

See when and how to make expressions shorter.

3. Included with

#### Comparing Expressions

Simplify to quickly find which expression is larger.

4. Included with

#### Problem Solving

Combine the powers of simplification and the distributive property.

5. 5

### Equations

Uncover the rules for solving equations.

1. Included with

#### Circle Puzzles

Solve intuitive and fun puzzles that lead directly to solving equations.

2. Included with

#### Circle Puzzles and Equations

How do circle puzzles transform into algebraic equations?

3. Included with

#### Solving Equations

Undo the operations and work backward to find solutions.

4. Included with

#### Both Sides

Move variables around to solve two-sided equations.